Question

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58 m
40 m
b
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = meters

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse $c=58$, leg $a=40$. The formula for the missing leg $b$ is $b=\sqrt{c^2 - a^2}$

Step2: Calculate squared values

$c^2 = 58^2 = 3364$, $a^2 = 40^2 = 1600$

Step3: Subtract and take square root

$b=\sqrt{3364 - 1600}=\sqrt{1764}=42$

Answer:

42 meters